Question About Background for Quantum Mechanics/Computing

[oobob]

Greetings. I'm working on something that requires I read a large paper on quantum information theory and I was wondering if anyone could recommend some books that could help fill in my background. To be specific, I'm reading Keyl's Fundamentals of Quantum Information Theory paper. I have until fall before I technically have to even start reading this, although I would prefer to start sooner.

I just finished a course on matrix theory and so I possesses some understanding of the beginning of the paper, but it soon introduces Hilbert spaces and tensors, two things I know nothing about. I'm interested on finding books that explain Hilbert spaces and tensors, and also the name of a good intro to quantum mechanics that I could refer to as a secondary text.

For my background, I've taken the first abstract algebra and analysis courses, linear algebra, matrix theory, and calc III. Since I'll be taking graduate level algebra and analysis courses this fall, I can learn any necessary material from them as may be required in a suggested book. In terms of what I know of matrices, I've read the fundamental parts (not applications) of Horn and Johnson's Matrix Analysis.

I think I would prefer graduate level texts, but if none of them are adequate for someone in my position, alternatives would be appreciated.

Thanks,
-Oobob

 

[Baggio]

Greetings. I'm working on something that requires I read a large paper on quantum information theory and I was wondering if anyone could recommend some books that could help fill in my background. To be specific, I'm reading Keyl's Fundamentals of Quantum Information Theory paper. I have until fall before I technically have to even start reading this, although I would prefer to start sooner.

I just finished a course on matrix theory and so I possesses some understanding of the beginning of the paper, but it soon introduces Hilbert spaces and tensors, two things I know nothing about. I'm interested on finding books that explain Hilbert spaces and tensors, and also the name of a good intro to quantum mechanics that I could refer to as a secondary text.

For my background, I've taken the first abstract algebra and analysis courses, linear algebra, matrix theory, and calc III. Since I'll be taking graduate level algebra and analysis courses this fall, I can learn any necessary material from them as may be required in a suggested book. In terms of what I know of matrices, I've read the fundamental parts (not applications) of Horn and Johnson's Matrix Analysis.

I think I would prefer graduate level texts, but if none of them are adequate for someone in my position, alternatives would be appreciated.

Thanks,
-Oobob

Grab your self a copy of Nielsen Cheung it is a very good book.

 

[hhegab]

Hello Oobob,

Thank you for reaching out and sharing your question with us. It sounds like you have a solid background in mathematics, which will definitely be helpful in understanding quantum information theory. Here are some recommendations for books that could help fill in your background and provide a good foundation for reading Keyl's paper:

1. "Quantum Computing since Democritus" by Scott Aaronson - This book provides a great introduction to quantum computing and includes a chapter on quantum information theory. It also covers topics such as Hilbert spaces and tensors in an accessible way.

2. "Quantum Computation and Quantum Information" by Michael Nielsen and Isaac Chuang - This is a standard textbook in the field and covers all the basics of quantum computing and information theory. It is a bit more technical than Aaronson's book, but it may be helpful for your purposes.

3. "Quantum Mechanics: The Theoretical Minimum" by Leonard Susskind and Art Friedman - This book covers the fundamentals of quantum mechanics and could serve as a good secondary text for you. It is less focused on quantum information theory, but it will provide a solid understanding of the underlying principles.

In addition to these books, you may also want to look into online resources such as lectures or tutorials that cover topics like Hilbert spaces and tensors in the context of quantum mechanics. It may also be helpful to consult with your professors or classmates who have more experience in this area.

I hope these suggestions are helpful and wish you the best of luck in your studies. Quantum information theory is a fascinating and rapidly growing field, and I'm sure you will find it rewarding to dive into it. Happy reading!